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Algebra Logika, 2019, Volume 58, Number 5, Pages 553–573 (Mi al916)  

Constructing decidable graphs from decidable structures

N. A. Bazhenovab, M. Harrison-Trainorc

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Dep. Pure Math., Univ. Waterloo, ON, CANADA N2L 3G1

Abstract: It is shown that every structure (including one in an infinite language) can be transformed into a graph that is bi-interpretable with the original structure, for which the full elementary diagrams can be computed one from the other.

Keywords: decidable structure, decidable graph, bi-interpretable structures, full diagram.

Funding Agency Grant Number
Siberian Branch of Russian Academy of Sciences I.1.1, проект № 0314-2019-0002
Natural Sciences and Engineering Research Council of Canada (NSERC)


DOI: https://doi.org/10.33048/alglog.2019.58.501

Full text: PDF file (685 kB)
First page: PDF file
References: PDF file   HTML file

UDC: 510.54
Received: 29.11.2017
Revised: 26.11.2019

Citation: N. A. Bazhenov, M. Harrison-Trainor, “Constructing decidable graphs from decidable structures”, Algebra Logika, 58:5 (2019), 553–573

Citation in format AMSBIB
\Bibitem{BazHar19}
\by N.~A.~Bazhenov, M.~Harrison-Trainor
\paper Constructing decidable graphs from decidable structures
\jour Algebra Logika
\yr 2019
\vol 58
\issue 5
\pages 553--573
\mathnet{http://mi.mathnet.ru/al916}
\crossref{https://doi.org/10.33048/alglog.2019.58.501}


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